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Finding the Fourth Proportional to 11,706.34, 17,561.26 and 4,310.23

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Solution

The fourth proportional to 11,706.34, 17,561.26 and 4,310.23 is: 6,465.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,706.34 : 17,561.26 = 4,310.23 : x
  2. Step 2: Convert to fraction form
    11,706.34/17,561.26 = 4,310.23/x
  3. Step 3: Cross multiply
    11,706.34x = 17,561.26 × 4,310.23
  4. Step 4: Simplify right side
    11,706.34x = 75,693,069.69
  5. Step 5: Solve for x
    x = 75,693,069.69/11,706.34
  6. Step 6: Final answer
    x = 6,465.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.